On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation
Assuming that the initial value v0(x) belongs to the space H1(R), we prove the existence of global weak solutions for a weakly dissipative hyperelastic rod wave equation in the space C([0,∞)×R)⋂L∞([0,∞);H1(R)). The limit of the viscous approximation for the equation is used to establish the existen...
Main Authors: | Haibo Yan, Ls Yong, Yu Yang, Yang Wang |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2014-01-01
|
Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2014/264162 |
Similar Items
-
Non-existence of solutions for a Timoshenko equations with weak dissipation
by: Pişkin Erhan, et al.
Published: (2018-01-01) -
Global existence and energy decay of solutions to the Cauchy problem for a wave equation with a weakly nonlinear dissipation
by: Abbès Benaissa, et al.
Published: (2004-01-01) -
The H1(R) Space Global Weak Solutions to the Weakly Dissipative Camassa-Holm Equation
by: Zhaowei Sheng, et al.
Published: (2012-01-01) -
Global existence of weak solution and regularity criteria for the 2D Bénard system with partial dissipation
by: Liangliang Ma, et al.
Published: (2018-05-01) -
Time-Periodic Solution of the Weakly Dissipative Camassa-Holm Equation
by: Chunyu Shen
Published: (2011-01-01)